What is the common difference of the arithmetic sequence-20,-16,-12,-18
Answer:
common difference = 4
Step-by-step explanation:
common difference is the difference between the successive term and its preceding term.
let's take the successive term of -20 that is - 16
common difference (d) = successive term - preceeding term
= -16 -(-20)
= -16 + 20
= 4
if we take the successive term of -16 that is -12
we'll get the same common difference.
d = -12 -(-16)
d = -12 + 16
d = 4
this means that the common difference for an AP remains constant.
help me out (geometry)
Answer:
⊥
Step-by-step explanation:
d and b meet at a 90 degree angle ( as shown by the box)
The lines are perpendicular (⊥)
plsssssssssss helppppppppp i want it right now pls
Answer:
hope this helps you
have a great day
The ratio of grapes in a fruit salad to people it will serve is 13/3. How many people will be served if Deb is using 30 grapes?
Answer:
6 + 12/13, or 90/13 people will be served
Step-by-step explanation:
Ratios stay the same, no matter the quantity.
Given this, we can say that (13 grapes / 3 people) = (30 grapes / x amount of people)
13/3 = 30 / x
multiply both sides by 3 to remove a denominator
13 = 30 * 3 /x
multiply both sides by x to remove the other denonimator
13 * x = 30 * 3
13 * x = 90
divide both sides by 13 to isolate the x
x = 90/13 = 6 + 12/13 ≈6.92 people
If the cost of a dozen donuts is $4.80
and a bag of 16 rolls costs $4.80, what
is the cost of 3 donuts and 3 rolls?
(A) $2.40
(B) $0.70
(C) $7.20
(D) $2.10
(E) $9.60
Please help you gonna help
Answer:
[tex]\frac{4}{9}[/tex]
Step-by-step explanation:
The equation would be
[tex]\frac{1}{3} +\frac{1}{9} =total[/tex]
First, change the denominator to a common multiple.
The LCM (least common multiple) of 3 and 9 is 9.
[tex]\frac{3}{9} +\frac{1}{9} =total[/tex]
Add to solve.
[tex]\frac{4}{9}[/tex]
I hope this helps!
Answer:
4/9
Step-by-step explanation:
We need to add the amounts together
1/3 + 1/9
Getting a common denominator
1/3 *3/3 + 1/9
3/9 + 1/9
4/9
find two consecutive whole number such that five times the greater number makes 59 hint let the number be x and x + 1
Answer:
Step-by-step explanation:
Let the smaller number = x
Let the larger number = x + 1
5*(x + 1) = 59
You can do this. The problem says that when the larger number is multiplied by 5, you get 59. You are also told that the numbers are whole numbers. 59 divided by 5 leaves a remainder which is not a whole number.
5 and 6 What are the first five terms of the recursive sequence?
Answer:
4th option and 3rd option
Step-by-step explanation:
Using the recursive rule and a₁ = 7 , then
a₂ = 3a₁ - 6 = (3 × 7) - 6 = 21 - 6 = 15
a₃ = 3a₂ - 6 = (3 × 15) - 6 = 45 - 6 = 39
a₄ = 3a₃ - 6 = (3 × 39) - 6 = 117 - 6 = 111
a₅ = 3a₄ - 6 = (3 × 111) - 6 = 333 - 6 = 327
The first 5 terms are 7, 15, 39, 111, 327
---------------------------------------------------------------------
Similarly using the recursive rule and a₁ = 9
a₂ = 3a₁ + 3 = (3 × 9) + 3 = 27 + 3 = 30
a₃ = 3a₂ + 3 = (3 × 30) + 3 = 90 + 3 = 93
a₄ = 3a₃ + 3 = (3 × 93) + 3 = 279 + 3 = 282
a₅ = 3a₄ + 3 = (3 × 282) + 3 = 846 + 3 = 849
The first 5 terms are 9, 30, 93, 282, 849
Please help me ASAP
Answer:
4
Step-by-step explanation:
6(6+x) = 5(5+x+3)
36+6x = 25+5x+15
6x-5x=40-36
x=4
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
See this attachment
x=4Given g (n) = 3n + 2, f (n) = 2n^2 + 5
Find g (f (2))
a)8
b)41
c)133
d)21
Answer:
g(f(2)) = 41
b)41
Step-by-step explanation:
g(f(2)) = 41
f(2)= 2(2²) + 5 = 13
So g(f(2)) → g(n = 13)
g(n = 13)→ 3(13) + 2 = 41
Jessica ate 7 /10 of her orange before lunch and 1/10 of her orange after lunch. How much of her orange did she eat?
Answer:
8/10
Step-by-step explanation:
Lighthouse B is 10 miles west of lighthouse A. A boat leaves A and sails 5miles. At this time, it is sighted from B. If the bearing of the boat from B is N65E, how far from B is the boat?
The distance of B from the boat is 8.99 miles
To calculate the distance of the the boat from B we use cosine rule.
What is cosine rule?Cosine rule is a formula use to find one side of a triangle if two sides and an angle is given.
Cosine rule formula can be stated as
R² = P²+Q²-2PQcos∅.............. Equation 1From the question,
⇒ Given:
Q = 5 mileP = 10 miles∅ = 65°⇒ Substitute these values into equation 1 and solve for R
R² = 5²+10²-(2×5×10)cos65°R² = 125-(100×0.442)R² = 125-44.2R² = 80.8R = √(80.0)R = 8.99 milesHence, the distance of B from the boat is 8.99 miles.
Learn more about cosine rule here: https://brainly.com/question/23720007
#SPJ1
y=x+5 y=-2x-4 I need help with this problem will you help me?
Answer:
x = - 3, y = 2
Step-by-step explanation:
Given the 2 equations
y = x + 5 → (1)
y = - 2x - 4 → (2)
Substitute y = x + 5 into (2)
x + 5 = - 2x - 4 ( add 2x to both sides )
3x + 5 = - 4 ( subtract 5 from both sides )
3x = - 9 ( divide both sides by 3 )
x = - 3
Substitute x = - 3 into either of the 2 equations and evaluate for y
Substituting into (1)
y = - 3 + 5 = 2
Please I need help someone answer asap
Answer:
C -2,-1
Step-by-step explanation:
I pulled up a graph of a circle. -2, -1 is outside the circle
Find the height of the cylinder.
13 cm width
17 cm diagonally length
how much is the hight?
Answer:
The height is 0.014
Step-by-step explanation:
Use the formula, V=πr2h
h=V
πr2=13
π·172≈0.014
George has opened a new store and he is monitoring its success closely. He has found that this store’s revenue each month can be modeled by r(x)=x2+6x+10 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars. He has also found that his expenses each month can be modeled by c(x)=x2−4x+5 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars. What does (r−c)(4) mean about George's new store?
Answer:
(r - c)(4), is the profit made in George's new store after 4 months which is $4,500
Step-by-step explanation:
The given parameters for George's store are;
The amount of revenue George makes each month, r(x) = x² + 6·x + 10
The expenses each month, c(x) = x² - 4·x + 5
Where;
x = The number of months the store has opened the doors
r(x) and c(x) are measured in hundreds of dollars
The amount of profit from the store, P = Revenue - Expenses
Therefore, the profit made on a given month, x, is P(x), which is found as follows;
P(x) = r(x) - c(x) = (r - c)(x)
Therefore, (r - c)(4) = P(4), is the profit realized from George's new store, after 4 months
(r - c)(4) = 4² + 6·4 + 10 - (4² - 4·4 + 5) = 45
Answer:
The new store will have a profit of $4500 after its fourth month in business.
Step-by-step explanation:
I took the quiz
If
f(x) = x2 + 2x - 4
and
g(x) = 3x + 1
Find
f(g(x)) = [? ]x2 + [ ]+х
Answer:
f(g(x)) = 9x^2 +12x -1
Step-by-step explanation:
f(g(x)) means you replace the x in f(x) with g(x), which is 3x + 1:
(3x+1)^2 + 2(3x+1) - 4
then expand and simplify:
(3x+1)(3x+1) + 6x+2 - 4
9x^2+6x+1 + 6x+2 - 4
and then collect all like terms:
9x^2
6x + 6x = 12x
1 + 2 - 4 = -1
Can someone please help me
Answer: B. 4 × 10⁻⁵
Step-by-step explanation:
0.00003762 = 3.762 × 10⁻⁵ ≈ 4 × 10⁻⁵
Answer:
b
Step-by-step explanation:
[tex]4 \times {10}^{ - 5} = 4 \times \frac{1}{100000} [/tex]
A house owner wishes to cover their roof with solar panels. Each solar panel is of the following size. The roof section is rectangular 7.2 m by 4.4 m. Each solar panel measures 1400 mm by 850 mm. There needs to be at least a 30 cm gap left at each edge of the roof section. The house owner thinks he can have at least 15 solar panels fitted to the roof section. Can u agree? If yes, show the working.
Answer:
Hello Arjun, The Answer Is 26.54 panels.
Explanation:
Dimensions of roof section: 7.2m By 4.4m
Area Of Roof: 7.2*4.4 = 31.68m²
Dimension of solar panels: 1400mm by 850mm
= 1400÷1000 by 850÷1000 = 1.4m by 0.85m
So We can say that: Area each solar panel = 1.4 * 0.85 = 1.19m²
The 30 CM Gap On All Edges Gives Us A Square Of Side = 30 Cm = 0.3 M
So, The Area Of Gap Left = 0.3*0.3 = 0.9m²
Now, The Total Area That Can Be Covered Is 31.68-0.9 = 31.59m²
So, Now we Divide The area remaining with the area of the solar panel that is: 31.59 ÷ 1.19m² = 26.54 Panels...
I Could Only Understand This Much From The HW Ma'am Gave, So This Was My Answer...
Hope It Helps!
help me thankyouuuuuuu
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⠀⠈⠛⠛⠛⠓⠒⠚⠛⠛⠛⠛⠛⠋⠙⠛⠛⠛⠛⠟⠿⠷⠶⠶⠾⠿⢿⠿⠿⠿ Don't mind me, just a feller out on the farm.
Answer:
210 * 1.1 = 231
48*1.1 = 52.8
Step-by-step explanation:
15 points f (x) = 1/x+5 -1. Find the inverse of (x) and its domain.
Answer:
D
Step-by-step explanation:
[tex]f(x)=\frac{1}{x+5} -1\\let~f(x)=y\\y=\frac{1}{x+5} -1\\flip~x~and~y\\x=\frac{1}{y+5} -1\\x+1=\frac{1}{y+5} \\y+5=\frac{1}{x+1} \\y=\frac{1}{x+1} -5\\f^{-1}(x)=\frac{1}{x+1} -5\\x+1\neq 0\\x\neq -1[/tex]
Sabina bought a samsung mobile set for rs.15750 after getting the discount of 10%. Find the price of mobile set before discount.
Answer:
Step-by-step explanation:
90/100 * x = 15750
0.9 x = 15750
x = 15750/0.9
x = 17500
Now check this by taking 10% off. Do you get 15750?
Let's see
10/100 of 17500 = 1750
Subtract that from 17500
17500 - 1750 = 15750 which is exactly what you should get.
Find the discernment and the numbers of the number of real roots for this equation.
x^2+3x+8=0
Answer: 2 distinct complex solutions (ie non real solutions).
Work Shown:
The given equation is in the form ax^2+bx+c = 0, so
a = 1, b = 3, c = 8
Plug those into the formula below to find the discriminant
D = b^2 - 4ac
D = 3^2 - 4(1)(8)
D = -23
The discriminant is negative, so we get two nonreal solutions. The two solutions are complex numbers in the form a+bi, where a & b are real numbers and [tex]i = \sqrt{-1}[/tex]. The two solutions are different from one another.
Answer:
Discriminant: -23
Number of real roots: 0
Step-by-step explanation:
For a quadratic in standard form [tex]ax^2+bx+c[/tex], the discriminant is given by [tex]b^2-4ac[/tex].
In [tex]x^2+3x+8[/tex], assign:
[tex]a\implies 1[/tex] [tex]b\implies 3[/tex] [tex]c\implies 8[/tex]The discriminant is therefore:
[tex]3^2-4(1)(8)=9-32=\boxed{-23}[/tex]
For any quadratic:
If the discriminant is greater than 0, the quadratic has two real rootsIf the discriminant is equal to 0, the quadratic has one real rootIf the discriminant is less than 0, the quadratic as no real rootsSince the quadratic in the question has a discriminant less than 0, there are no real solutions to this quadratic.
WILL GIVE BRAINLIEST, HELP QUICK!!
Answer:
the answer is 5 units
Step-by-step explanation:
You can look at the location of B and C and see that the line goes from 2 to -2 which is 5 units apart. -2, -1, 0, 1, 2
Complete this equations,( show your work).
* I re-wrote some of the questions below them so u can read ' em better. ty
Answer:
21 is: [tex]\frac{4}{9}[/tex] x + [tex]\frac{31}{72}[/tex]
22 is: 4 [tex]\frac{39}{44}[/tex]
23 is:[tex]\frac{1}{4}[/tex] x + [tex]\frac{31}{72}[/tex]
24 is: [tex]\frac{-2}{11}[/tex] x + [tex]\frac{7}{11}[/tex]
Step-by-step explanation: Hope this helps and good luck mark brainliest if u want :)
9 is subtracted from 5 times 3 and 10 is added
A chair which was produced at a cost of Rs 450 was sold at a profit of 22%. What was the profit?
Answer:
RS 99
Step-by-step explanation:
%p = p/cp ×100
22 = p/450 × 100
22 = 100p/450
cross multiply
22 × 450 =100p
9900 = 100p
100p =9900
p = 9900/100
p = 99
Please help me Find PA.
Need help with this!!! 8 points!!!
Answer:
The answers is 369 and 577... good luck. ♥️♥️♥️
Given: -1/2 x > 6.
Choose the solution set.
A. {x | x R, x > -12}
B. {x | x R, x > -3}
C. {x | x R, x < -3}
D. {x | x R, x < -12}
Given: -1/2 x > 6
Solving It:--1/2 x > 6
x > -6×2
x > -12
So The Correct Solution Set Will Be
A. {x | x R, x > -12}Hope This Helps You